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Finding the Fourth Proportional to 65,378.46, 98,120.23 and 33,797.78

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Solution

The fourth proportional to 65,378.46, 98,120.23 and 33,797.78 is: 50,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.46 : 98,120.23 = 33,797.78 : x
  2. Step 2: Convert to fraction form
    65,378.46/98,120.23 = 33,797.78/x
  3. Step 3: Cross multiply
    65,378.46x = 98,120.23 × 33,797.78
  4. Step 4: Simplify right side
    65,378.46x = 3,316,245,739.94
  5. Step 5: Solve for x
    x = 3,316,245,739.94/65,378.46
  6. Step 6: Final answer
    x = 50,723.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.